Using Euler's identity, find real positive constants and for all real such that: I tried substituting the Euler formula for all sine and cosine values to get: Which suggests: Which I don't see a solution to. Any ideas?
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Originally Posted by VinceW Using Euler's identity, find real positive constants and for all real such that: I tried substituting the Euler formula for all sine and cosine values to get: Which suggests: Which I don't see a solution to. Any ideas? And... So and . Therefore Can you go from here to get values for ?
Thanks Prove It. You definitely solved it. You didn't use the Euler formula, but I guess that wasn't applicable? I believe you made a small algebra error in that this: should be: thanks
Originally Posted by VinceW Thanks Prove It. You definitely solved it. You didn't use the Euler formula, but I guess that wasn't applicable? I believe you made a small algebra error in that this: should be: thanks Yes you are correct, that was a typo. Did you manage to find any values for ?
Originally Posted by Prove It Did you manage to find any values for ? Yes, that was last step was obvious after all the previous steps: